Respuesta :

Given: F = Bqv

Divide each side by Bq.
[tex] \frac{F}{Bq} = \frac{Bqv}{Bq} =v[/tex]

Answer: [tex]v= \frac{F}{Bq} [/tex]

v in terms of F,q,B : [tex]\large{\boxed{\bold{v=\frac{F}{Bq}}}[/tex]

Further explanation

Lorentz force is a force that occurs when an electric current conductor is placed in a magnetic field.

The direction of the Lorentz force (F) is always perpendicular to the direction of the electric current (l) and magnetic induction (B).

Lorentz force also occurs in charges moving in a magnetic field

Can be formulated

[tex]\large{\boxed{\bold{Fl= q.v.B.sin\:\alpha }}[/tex]

Fl = Lorentz force

q = electric charge (C = Coloumb)

v = charge speed (m / s)

B = magnetic field strength (T)

α = angle formed by v and B

An equation means what is on the left is equal to what is on the right

There are several ways to solve an equation

  • Add / Subtract / divide / multiply the same value on both sides
  • Combine like terms
  • Factoring
  • Expanding

The subject of a formula is the single variable usually on the left of the symbol "= "

We can change a formula so that another variable is the subject

We can Add / Subtract / divide / multiply the same value on both sides according to the desired subject formula

From the equation F = Bqv, the subject is F

we rearrange it so that the value v becomes the subject

  • Start with: F = Bqv
  • Divide both sides by Bq:

[tex]\dfrac{F}{Bq}=\dfrac{Bqv}{Bq}[/tex]

[tex]\displaystyle \frac{F}{Bq}=v[/tex]

swap sides:

[tex]\displaystyle v=\frac{F}{Bq}[/tex]

Learn more

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Keywords: one variable, linear equation, subject of formula

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